On G-isoshtukas over function fields

In this paper we classify isogeny classes of global G -shtukas over a smooth projective curve C / F q (or equivalently σ -conjugacy classes in G ( F ⊗ F q F q ¯ ) where F is the field of rational functions of C ) by two invariants κ ¯ , ν ¯ extending previous works of Kottwitz. This result can be ap...

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Vydané v:Selecta mathematica (Basel, Switzerland) Ročník 27; číslo 4
Hlavní autori: Hamacher, Paul, Kim, Wansu
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.09.2021
Springer Nature B.V
Predmet:
Homology
Mathematics
Mathematics and Statistics
Rational functions
Shtukas
20G30
11G09
11S25
Linear algebraic groups
Global function fields
ISSN:1022-1824, 1420-9020
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Popis
Shrnutí:In this paper we classify isogeny classes of global G -shtukas over a smooth projective curve C / F q (or equivalently σ -conjugacy classes in G ( F ⊗ F q F q ¯ ) where F is the field of rational functions of C ) by two invariants κ ¯ , ν ¯ extending previous works of Kottwitz. This result can be applied to study points of moduli spaces of G -shtukas and thus is helpful to calculate their cohomology.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-021-00683-w